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229628161980 = 2236573173773
BaseRepresentation
bin1101010111011011100…
…1111010111110111100
3210221201011220021000000
43111312321322332330
512230234302140410
6253253440234300
722406254113000
oct3256671727674
9727634807000
10229628161980
1189426124888
123860600b990
1318866653179
14b184db6700
155e8e5eddc0
hex3576e7afbc

229628161980 has 1344 divisors, whose sum is σ = 929431238400. Its totient is φ = 47405481984.

The previous prime is 229628161969. The next prime is 229628161981. The reversal of 229628161980 is 89161826922.

It is a happy number.

229628161980 is a `hidden beast` number, since 2 + 2 + 9 + 628 + 1 + 6 + 1 + 9 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229628161981) by changing a digit.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 3145591224 + ... + 3145591296.

It is an arithmetic number, because the mean of its divisors is an integer number (691541100).

Almost surely, 2229628161980 is an apocalyptic number.

229628161980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229628161980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464715619200).

229628161980 is an abundant number, since it is smaller than the sum of its proper divisors (699803076420).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

229628161980 is a wasteful number, since it uses less digits than its factorization.

229628161980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 229628161980 in words is "two hundred twenty-nine billion, six hundred twenty-eight million, one hundred sixty-one thousand, nine hundred eighty".